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JGT
2006
70views more  JGT 2006»
14 years 9 months ago
Vertex partitions of chordal graphs
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
David R. Wood
JGT
2006
95views more  JGT 2006»
14 years 9 months ago
Maximal independent sets in graphs with at most r cycles
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...
Goh Chee Ying, Koh Khee Meng, Bruce E. Sagan, Vinc...
JSAT
2006
73views more  JSAT 2006»
14 years 9 months ago
Impurity: Another Phase Transition of SAT
It is well known that satisfiability of random sets of propositional clauses undergoes phase transition while the clause-to-variable ratio of the sets increases. We introduce anot...
Eliezer L. Lozinskii
JSYML
2006
76views more  JSYML 2006»
14 years 9 months ago
Diagonal actions and Borel equivalence relations
We investigate diagonal actions of Polish groups and the related intersection operator on closed subgroups of the acting group. The Borelness of the diagonal orbit equivalence rela...
Longyun Ding, Su Gao
NECO
2006
76views more  NECO 2006»
14 years 9 months ago
Spontaneous Dynamics of Asymmetric Random Recurrent Spiking Neural Networks
We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so...
Hédi Soula, Guillaume Beslon, Olivier Mazet